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Finding the Third Proportional to 175,127 and 277,351

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Solution

The third proportional to 175,127 and 277,351 is: 439,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,127 : 277,351 = 277,351 : x
  2. Step 2: Convert to fraction form
    175,127/277,351 = 277,351/x
  3. Step 3: Cross multiply
    175,127x = 277,351 × 277,351
  4. Step 4: Simplify right side
    175,127x = 76,923,577,201
  5. Step 5: Solve for x
    x = 76,923,577,201/175,127
  6. Step 6: Final answer
    x = 439,244.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.